648676080 has 240 divisors, whose sum is σ = 2420782560. Its totient is φ = 159584256.

The previous prime is 648676079. The next prime is 648676099. The reversal of 648676080 is 80676846.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-4 number, since 4×648676080⁴ (a number of 36 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 364152 + ... + 365928.

It is an arithmetic number, because the mean of its divisors is an integer number (10086594).

Almost surely, 2^648676080 is an apocalyptic number.

648676080 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 648676080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1210391280).

648676080 is an abundant number, since it is smaller than the sum of its proper divisors (1772106480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

648676080 is a wasteful number, since it uses less digits than its factorization.

648676080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1825 (or 1800 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 648676080 is about 25469.1201261449. The cubic root of 648676080 is about 865.6505869919.

The spelling of 648676080 in words is "six hundred forty-eight million, six hundred seventy-six thousand, eighty".